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本文采用“根据时间序列数据重建复杂系统动力学特征”的方法,对澜沧—耿马地震前后澜沧、普洱、思茅和芒市台的水氡旬均值进行了处理,得到震前澜沧.普洱和芒市台水氡状态吸引子维数d在1.0—3.0之间,这从理论上说明了澜沧—耿马地震孕育过程中此三台站水氡变化遵从某些确定性规律,并指出了这些确定性规律所依赖的基本变量数目范围,这对认识大震孕育过程中水氡变化的动力学行为具有一定意义。 相似文献
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Chen Yingyi 《大气科学进展》1993,10(4):497-503
The dimensions of attractors and predictability are estimated from phase space trajectories of observed 500 hPa height over the Northern Hemisphere. As a first estimate the dimensions of attractors are about 11.5 and the doubling time of the initial error is 6 to 7 days for original data. But the former is shorter and the latter is longer for low frequency data set.To verify if the predictability estimated by this method and by general circulation model is identical, the doubling time of the initial error of a model data set by both methods is estimated. It is shown that the predictability obtained from phase space trajectories is overestimated to sufficient small initial error. But it is underestimated to the time being equal to the climatological RMS error. 相似文献
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全文以地震道反演的数值实验为例,根据混沌理论讨论了非线性地震反演的以下特性:1.对于带误差的地震数据和极其平滑的初始模型,逐次线性化的迭代过程产生的输出序列最终走向无序,这是非线性反演系统本身的特性决定的;2.迭代（非线性反演）系统是由Poin-care映的或系统方程描述的;3.可以根据地震反问题的特点,用多种不同的方法定义相应的Lyapunov指数,它们的数值和组合是非线性反演系统状态的有效指示;4.取决于系统参数的选取,发现在二维相空间有奇异吸引子的对应物.总之,从混沌理论的角度来研究纯数学的非线性地震反问题,可以揭示某些过去鲜为人知的内在规律性.本文为全文的上篇,主要讨论前两个问题,即理论和地震道反演数值试验结果. 相似文献
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利用一维时间序列确定吸引子维数中存在的若干问题 总被引：8，自引：0，他引：8
从一些控制方程已知的微分动力系统出发，利用它们不同分量、不同时间间隔的解序列重构相空间和原本相空间两种方式所得分维结果进行了比较，发现了一些有意义的事实，并探讨了用一维时间序列重构相空间确定吸引子维数的理论，揭示出其中存在的本质问题。最后指出，只有完全搞清动力系统的单分量序列采用怎样的延滞时间τ和怎样的采样间隔Ｈ延拓后才能保证重构相空间和原本相空间的度量性质不变时，我们才能获得真实、可靠、有用的结果。 相似文献
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S. Straub 《International Journal of Earth Sciences》1996,85(1):85-91
Based on the assumption that high-speed high-concentration sediment mass flows are primarily granular flows, their dynamic properties were studied. Such highly sheared granular flows are characterized by interparticle collisions. This so-called rapid granular flow regime has been analysed using two-dimensional computer simulations. It is shown that granular flows at the microstructural level are governed by deterministic chaos. The bulk behaviour is characterized by self-organization and an attractor controlling the energy dissipation of the flow. The existence of this rapid granular flow attractor easily explains the linear relation between drop height and travel distance of debris flows. A compelling consequence of the attractor is that rapid granular flow is the major flow regime in debris flows. 相似文献
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将TOMS测量的北半球不同纬度各纬向平均逐日O。总量作为无规序列,利用时滞方法重构序列的相空间吸引子,计算其系统状态演化过程中形成的整体结构特征.结果表明,各纬度O3层系统吸引子都具有非整数分维结构；此外,在完整的Lpapunov指数谱中,所有指数分量之和均为负值,且最大指数分量总是正值.反映出O3层系统相空间总体上是收缩的,同时提供了存在奇怪吸引子的证据,表征O3层系统的演化是一种耗散混饨运动.这对于进一步应用非线性动力系统理论和方法,深入研究O3层系统的动力学特征具有重要意义. 相似文献
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In this paper, we investigate the dynamics of Born–Infeld (B–I) phantom model in the ω–ω′ plane, which is defined by the equation of state parameter for the dark energy and its derivative with respect to N (the logarithm of the scale factor a). We find the scalar field equation of motion in ω–ω′ plane, and show mathematically the property of attractor solutions which correspond to ω
φ
∼−1, Ω
φ
=1, which avoid the “Big rip” problem and meets the current observations well.
相似文献
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The applications of the tools of nonlinear time-series analysis to measurements obtained by digital ionosonde PARUS, created at IZMIRAN, is considered. Small-scale structure of the electron density Ne at F-region of ionosphere is examined by exploring observables of reflected high-frequency radio wave.Time series corresponding to given transmitter frequency f and virtual height h and conforming to usual, not perturbed, day ionogram are examined. Using the standard correlation algorithm, we have determined that for an embedding dimension n = 15, computed correlation dimension D2(n) reaches its saturation, D2 4.Reliability of the estimation of the correlation dimension was confirmed by applying to our sets of measurements J. Theiler's modification of standard algorithm. The test of time difference, smoothing procedure, calculation of the largest Liapounov exponent, and analysis of the surrogate data were employed in our study of data sets. Although our sets of measurements contain a significant random noise, nonlinear time-series analysis clear up, that the dynamics of unperturbed ionosphere, generating this time series, exhibits low-dimensional behavior. 相似文献
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河冰湖突发洪水的分形和混沌特征研究 总被引：7，自引：0，他引：7
本文利用天山北坡四棵树河冰湖突发洪水洪峰流量时间序列,从吸引子分维数Ｄ２和Ｋｏｌｏｍｏｇｏｒｏｖ熵等方面分析了洪峰流量变化的混沌性质,初步结果表明,河冰湖突发洪水时序分布具有分形特征,且洪峰流量的变化是一个稳定性的低维混沌吸引子。 相似文献